This plugin is light on CSS/JS integration : it only adds the CSS and JS if the corresponding configuration enable it.
It does not try to be clever by reconfiguring PrestaShop JS or WordPress JS. (only JS can be tedious as some libraries may conflict together).
So if you add a plugin in WordPress that requires JQuery, the plugin will make WordPress fetch it even if it is already loaded by PrestaShop. You need to fix by hand theses problems : generally it is better to use only PrestaShop JS and deactivate the WordPress one (because PrestaShop will not work anymore if you use an already well up-to-date Jquery, which WordPress generally is bundled with). So you may need to use : wp_deregister_script to disable the WordPress one.